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Finding the Third Proportional to 152,039 and 234,039

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Solution

The third proportional to 152,039 and 234,039 is: 360,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,039 : 234,039 = 234,039 : x
  2. Step 2: Convert to fraction form
    152,039/234,039 = 234,039/x
  3. Step 3: Cross multiply
    152,039x = 234,039 × 234,039
  4. Step 4: Simplify right side
    152,039x = 54,774,253,521
  5. Step 5: Solve for x
    x = 54,774,253,521/152,039
  6. Step 6: Final answer
    x = 360,264.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.